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Finding the Fourth Proportional to 10,330.09, 14,239.16 and 9,472

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Solution

The fourth proportional to 10,330.09, 14,239.16 and 9,472 is: 13,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.09 : 14,239.16 = 9,472 : x
  2. Step 2: Convert to fraction form
    10,330.09/14,239.16 = 9,472/x
  3. Step 3: Cross multiply
    10,330.09x = 14,239.16 × 9,472
  4. Step 4: Simplify right side
    10,330.09x = 134,873,323.52
  5. Step 5: Solve for x
    x = 134,873,323.52/10,330.09
  6. Step 6: Final answer
    x = 13,056.36

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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.