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Finding the Fourth Proportional to 9,282.64, 13,906.52 and 4,597.20

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Solution

The fourth proportional to 9,282.64, 13,906.52 and 4,597.20 is: 6,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.64 : 13,906.52 = 4,597.20 : x
  2. Step 2: Convert to fraction form
    9,282.64/13,906.52 = 4,597.20/x
  3. Step 3: Cross multiply
    9,282.64x = 13,906.52 × 4,597.20
  4. Step 4: Simplify right side
    9,282.64x = 63,931,053.74
  5. Step 5: Solve for x
    x = 63,931,053.74/9,282.64
  6. Step 6: Final answer
    x = 6,887.16

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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.