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Finding the Fourth Proportional to 9,120, 12,585.60 and 4,928.25

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Solution

The fourth proportional to 9,120, 12,585.60 and 4,928.25 is: 6,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 12,585.60 = 4,928.25 : x
  2. Step 2: Convert to fraction form
    9,120/12,585.60 = 4,928.25/x
  3. Step 3: Cross multiply
    9,120x = 12,585.60 × 4,928.25
  4. Step 4: Simplify right side
    9,120x = 62,024,983.20
  5. Step 5: Solve for x
    x = 62,024,983.20/9,120
  6. Step 6: Final answer
    x = 6,800.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.