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Finding the Fourth Proportional to 9,054, 12,495.52 and 5,075.48

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Solution

The fourth proportional to 9,054, 12,495.52 and 5,075.48 is: 7,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 12,495.52 = 5,075.48 : x
  2. Step 2: Convert to fraction form
    9,054/12,495.52 = 5,075.48/x
  3. Step 3: Cross multiply
    9,054x = 12,495.52 × 5,075.48
  4. Step 4: Simplify right side
    9,054x = 63,420,761.85
  5. Step 5: Solve for x
    x = 63,420,761.85/9,054
  6. Step 6: Final answer
    x = 7,004.72

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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.