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Finding the Fourth Proportional to 9,695.66, 14,543.56 and 5,310.72

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Solution

The fourth proportional to 9,695.66, 14,543.56 and 5,310.72 is: 7,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.66 : 14,543.56 = 5,310.72 : x
  2. Step 2: Convert to fraction form
    9,695.66/14,543.56 = 5,310.72/x
  3. Step 3: Cross multiply
    9,695.66x = 14,543.56 × 5,310.72
  4. Step 4: Simplify right side
    9,695.66x = 77,236,807.57
  5. Step 5: Solve for x
    x = 77,236,807.57/9,695.66
  6. Step 6: Final answer
    x = 7,966.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.