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Finding the Fourth Proportional to 9,140.71, 13,712.51 and 3,875.74

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Solution

The fourth proportional to 9,140.71, 13,712.51 and 3,875.74 is: 5,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.71 : 13,712.51 = 3,875.74 : x
  2. Step 2: Convert to fraction form
    9,140.71/13,712.51 = 3,875.74/x
  3. Step 3: Cross multiply
    9,140.71x = 13,712.51 × 3,875.74
  4. Step 4: Simplify right side
    9,140.71x = 53,146,123.51
  5. Step 5: Solve for x
    x = 53,146,123.51/9,140.71
  6. Step 6: Final answer
    x = 5,814.22

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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.