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Finding the Fourth Proportional to 9,655.32, 13,325.88 and 5,677.40

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Solution

The fourth proportional to 9,655.32, 13,325.88 and 5,677.40 is: 7,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.32 : 13,325.88 = 5,677.40 : x
  2. Step 2: Convert to fraction form
    9,655.32/13,325.88 = 5,677.40/x
  3. Step 3: Cross multiply
    9,655.32x = 13,325.88 × 5,677.40
  4. Step 4: Simplify right side
    9,655.32x = 75,656,351.11
  5. Step 5: Solve for x
    x = 75,656,351.11/9,655.32
  6. Step 6: Final answer
    x = 7,835.72

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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.