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Finding the Fourth Proportional to 10,699.47, 14,769.33 and 9,578.40

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Solution

The fourth proportional to 10,699.47, 14,769.33 and 9,578.40 is: 13,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.47 : 14,769.33 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    10,699.47/14,769.33 = 9,578.40/x
  3. Step 3: Cross multiply
    10,699.47x = 14,769.33 × 9,578.40
  4. Step 4: Simplify right side
    10,699.47x = 141,466,459.17
  5. Step 5: Solve for x
    x = 141,466,459.17/10,699.47
  6. Step 6: Final answer
    x = 13,221.82

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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.