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Finding the Fourth Proportional to 9,114.71, 13,673.88 and 2,875.31

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Solution

The fourth proportional to 9,114.71, 13,673.88 and 2,875.31 is: 4,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.71 : 13,673.88 = 2,875.31 : x
  2. Step 2: Convert to fraction form
    9,114.71/13,673.88 = 2,875.31/x
  3. Step 3: Cross multiply
    9,114.71x = 13,673.88 × 2,875.31
  4. Step 4: Simplify right side
    9,114.71x = 39,316,575.53
  5. Step 5: Solve for x
    x = 39,316,575.53/9,114.71
  6. Step 6: Final answer
    x = 4,313.53

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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.