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Finding the Fourth Proportional to 29,140.47, 43,707.06 and 9,416.97

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Solution

The fourth proportional to 29,140.47, 43,707.06 and 9,416.97 is: 14,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.47 : 43,707.06 = 9,416.97 : x
  2. Step 2: Convert to fraction form
    29,140.47/43,707.06 = 9,416.97/x
  3. Step 3: Cross multiply
    29,140.47x = 43,707.06 × 9,416.97
  4. Step 4: Simplify right side
    29,140.47x = 411,588,072.81
  5. Step 5: Solve for x
    x = 411,588,072.81/29,140.47
  6. Step 6: Final answer
    x = 14,124.28

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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.