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Finding the Fourth Proportional to 9,287.28, 13,931.01 and 7,435.98

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Solution

The fourth proportional to 9,287.28, 13,931.01 and 7,435.98 is: 11,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.28 : 13,931.01 = 7,435.98 : x
  2. Step 2: Convert to fraction form
    9,287.28/13,931.01 = 7,435.98/x
  3. Step 3: Cross multiply
    9,287.28x = 13,931.01 × 7,435.98
  4. Step 4: Simplify right side
    9,287.28x = 103,590,711.74
  5. Step 5: Solve for x
    x = 103,590,711.74/9,287.28
  6. Step 6: Final answer
    x = 11,154.04

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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.