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Finding the Fourth Proportional to 9,114.87, 13,674.76 and 2,875.13

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Solution

The fourth proportional to 9,114.87, 13,674.76 and 2,875.13 is: 4,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.87 : 13,674.76 = 2,875.13 : x
  2. Step 2: Convert to fraction form
    9,114.87/13,674.76 = 2,875.13/x
  3. Step 3: Cross multiply
    9,114.87x = 13,674.76 × 2,875.13
  4. Step 4: Simplify right side
    9,114.87x = 39,316,637.16
  5. Step 5: Solve for x
    x = 39,316,637.16/9,114.87
  6. Step 6: Final answer
    x = 4,313.46

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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.