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Finding the Fourth Proportional to 9,652.08, 13,320 and 5,460.24

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Solution

The fourth proportional to 9,652.08, 13,320 and 5,460.24 is: 7,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.08 : 13,320 = 5,460.24 : x
  2. Step 2: Convert to fraction form
    9,652.08/13,320 = 5,460.24/x
  3. Step 3: Cross multiply
    9,652.08x = 13,320 × 5,460.24
  4. Step 4: Simplify right side
    9,652.08x = 72,730,396.80
  5. Step 5: Solve for x
    x = 72,730,396.80/9,652.08
  6. Step 6: Final answer
    x = 7,535.20

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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.