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Finding the Fourth Proportional to 9,695.88, 14,545.64 and 3,120.30

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Solution

The fourth proportional to 9,695.88, 14,545.64 and 3,120.30 is: 4,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.88 : 14,545.64 = 3,120.30 : x
  2. Step 2: Convert to fraction form
    9,695.88/14,545.64 = 3,120.30/x
  3. Step 3: Cross multiply
    9,695.88x = 14,545.64 × 3,120.30
  4. Step 4: Simplify right side
    9,695.88x = 45,386,760.49
  5. Step 5: Solve for x
    x = 45,386,760.49/9,695.88
  6. Step 6: Final answer
    x = 4,681.04

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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.