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Finding the Fourth Proportional to 9,712.61, 13,402.95 and 5,464.02

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Solution

The fourth proportional to 9,712.61, 13,402.95 and 5,464.02 is: 7,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.61 : 13,402.95 = 5,464.02 : x
  2. Step 2: Convert to fraction form
    9,712.61/13,402.95 = 5,464.02/x
  3. Step 3: Cross multiply
    9,712.61x = 13,402.95 × 5,464.02
  4. Step 4: Simplify right side
    9,712.61x = 73,233,986.86
  5. Step 5: Solve for x
    x = 73,233,986.86/9,712.61
  6. Step 6: Final answer
    x = 7,540.10

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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.