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Finding the Fourth Proportional to 9,139.47, 13,628.96 and 9,056.31

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Solution

The fourth proportional to 9,139.47, 13,628.96 and 9,056.31 is: 13,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.47 : 13,628.96 = 9,056.31 : x
  2. Step 2: Convert to fraction form
    9,139.47/13,628.96 = 9,056.31/x
  3. Step 3: Cross multiply
    9,139.47x = 13,628.96 × 9,056.31
  4. Step 4: Simplify right side
    9,139.47x = 123,428,041.46
  5. Step 5: Solve for x
    x = 123,428,041.46/9,139.47
  6. Step 6: Final answer
    x = 13,504.95

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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.