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Finding the Fourth Proportional to 9,432.54, 13,019.58 and 5,656.95

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Solution

The fourth proportional to 9,432.54, 13,019.58 and 5,656.95 is: 7,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.54 : 13,019.58 = 5,656.95 : x
  2. Step 2: Convert to fraction form
    9,432.54/13,019.58 = 5,656.95/x
  3. Step 3: Cross multiply
    9,432.54x = 13,019.58 × 5,656.95
  4. Step 4: Simplify right side
    9,432.54x = 73,651,113.08
  5. Step 5: Solve for x
    x = 73,651,113.08/9,432.54
  6. Step 6: Final answer
    x = 7,808.20

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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.