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Finding the Fourth Proportional to 9,139.61, 13,695.05 and 7,064.70

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Solution

The fourth proportional to 9,139.61, 13,695.05 and 7,064.70 is: 10,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.61 : 13,695.05 = 7,064.70 : x
  2. Step 2: Convert to fraction form
    9,139.61/13,695.05 = 7,064.70/x
  3. Step 3: Cross multiply
    9,139.61x = 13,695.05 × 7,064.70
  4. Step 4: Simplify right side
    9,139.61x = 96,751,386.04
  5. Step 5: Solve for x
    x = 96,751,386.04/9,139.61
  6. Step 6: Final answer
    x = 10,585.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.