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Finding the Fourth Proportional to 6,736,856.87, 9,296,640.54 and 4,257,402.57

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Solution

The fourth proportional to 6,736,856.87, 9,296,640.54 and 4,257,402.57 is: 5,875,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736,856.87 : 9,296,640.54 = 4,257,402.57 : x
  2. Step 2: Convert to fraction form
    6,736,856.87/9,296,640.54 = 4,257,402.57/x
  3. Step 3: Cross multiply
    6,736,856.87x = 9,296,640.54 × 4,257,402.57
  4. Step 4: Simplify right side
    6,736,856.87x = 39,579,541,327,362.19
  5. Step 5: Solve for x
    x = 39,579,541,327,362.19/6,736,856.87
  6. Step 6: Final answer
    x = 5,875,075.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.