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Finding the Fourth Proportional to 10,643.52, 14,702.40 and 9,649.92

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Solution

The fourth proportional to 10,643.52, 14,702.40 and 9,649.92 is: 13,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.52 : 14,702.40 = 9,649.92 : x
  2. Step 2: Convert to fraction form
    10,643.52/14,702.40 = 9,649.92/x
  3. Step 3: Cross multiply
    10,643.52x = 14,702.40 × 9,649.92
  4. Step 4: Simplify right side
    10,643.52x = 141,876,983.81
  5. Step 5: Solve for x
    x = 141,876,983.81/10,643.52
  6. Step 6: Final answer
    x = 13,329.89

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