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Finding the Fourth Proportional to 8,970.98, 13,455.92 and 3,347.57

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Solution

The fourth proportional to 8,970.98, 13,455.92 and 3,347.57 is: 5,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.98 : 13,455.92 = 3,347.57 : x
  2. Step 2: Convert to fraction form
    8,970.98/13,455.92 = 3,347.57/x
  3. Step 3: Cross multiply
    8,970.98x = 13,455.92 × 3,347.57
  4. Step 4: Simplify right side
    8,970.98x = 45,044,550.10
  5. Step 5: Solve for x
    x = 45,044,550.10/8,970.98
  6. Step 6: Final answer
    x = 5,021.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.