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Finding the Fourth Proportional to 9,272.40, 13,909.20 and 4,078.24

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Solution

The fourth proportional to 9,272.40, 13,909.20 and 4,078.24 is: 6,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.40 : 13,909.20 = 4,078.24 : x
  2. Step 2: Convert to fraction form
    9,272.40/13,909.20 = 4,078.24/x
  3. Step 3: Cross multiply
    9,272.40x = 13,909.20 × 4,078.24
  4. Step 4: Simplify right side
    9,272.40x = 56,725,055.81
  5. Step 5: Solve for x
    x = 56,725,055.81/9,272.40
  6. Step 6: Final answer
    x = 6,117.62

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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.