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Finding the Fourth Proportional to 9,572.47, 14,358.69 and 2,999.16

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Solution

The fourth proportional to 9,572.47, 14,358.69 and 2,999.16 is: 4,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.47 : 14,358.69 = 2,999.16 : x
  2. Step 2: Convert to fraction form
    9,572.47/14,358.69 = 2,999.16/x
  3. Step 3: Cross multiply
    9,572.47x = 14,358.69 × 2,999.16
  4. Step 4: Simplify right side
    9,572.47x = 43,064,008.70
  5. Step 5: Solve for x
    x = 43,064,008.70/9,572.47
  6. Step 6: Final answer
    x = 4,498.74

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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.