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Finding the Fourth Proportional to 9,697.30, 13,385.73 and 6,915.22

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Solution

The fourth proportional to 9,697.30, 13,385.73 and 6,915.22 is: 9,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.30 : 13,385.73 = 6,915.22 : x
  2. Step 2: Convert to fraction form
    9,697.30/13,385.73 = 6,915.22/x
  3. Step 3: Cross multiply
    9,697.30x = 13,385.73 × 6,915.22
  4. Step 4: Simplify right side
    9,697.30x = 92,565,267.81
  5. Step 5: Solve for x
    x = 92,565,267.81/9,697.30
  6. Step 6: Final answer
    x = 9,545.47

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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.