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Finding the Fourth Proportional to 10,387.04, 14,338.08 and 7,047.14

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Solution

The fourth proportional to 10,387.04, 14,338.08 and 7,047.14 is: 9,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.04 : 14,338.08 = 7,047.14 : x
  2. Step 2: Convert to fraction form
    10,387.04/14,338.08 = 7,047.14/x
  3. Step 3: Cross multiply
    10,387.04x = 14,338.08 × 7,047.14
  4. Step 4: Simplify right side
    10,387.04x = 101,042,385.40
  5. Step 5: Solve for x
    x = 101,042,385.40/10,387.04
  6. Step 6: Final answer
    x = 9,727.74

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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.