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Finding the Fourth Proportional to 9,139.08, 13,707.47 and 2,899.74

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Solution

The fourth proportional to 9,139.08, 13,707.47 and 2,899.74 is: 4,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.08 : 13,707.47 = 2,899.74 : x
  2. Step 2: Convert to fraction form
    9,139.08/13,707.47 = 2,899.74/x
  3. Step 3: Cross multiply
    9,139.08x = 13,707.47 × 2,899.74
  4. Step 4: Simplify right side
    9,139.08x = 39,748,016.02
  5. Step 5: Solve for x
    x = 39,748,016.02/9,139.08
  6. Step 6: Final answer
    x = 4,349.24

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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.