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Finding the Fourth Proportional to 10,709.39, 15,987.42 and 9,308.51

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Solution

The fourth proportional to 10,709.39, 15,987.42 and 9,308.51 is: 13,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.39 : 15,987.42 = 9,308.51 : x
  2. Step 2: Convert to fraction form
    10,709.39/15,987.42 = 9,308.51/x
  3. Step 3: Cross multiply
    10,709.39x = 15,987.42 × 9,308.51
  4. Step 4: Simplify right side
    10,709.39x = 148,818,979.01
  5. Step 5: Solve for x
    x = 148,818,979.01/10,709.39
  6. Step 6: Final answer
    x = 13,896.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.