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Finding the Fourth Proportional to 9,666.20, 14,510.10 and 9,031.70

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Solution

The fourth proportional to 9,666.20, 14,510.10 and 9,031.70 is: 13,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.20 : 14,510.10 = 9,031.70 : x
  2. Step 2: Convert to fraction form
    9,666.20/14,510.10 = 9,031.70/x
  3. Step 3: Cross multiply
    9,666.20x = 14,510.10 × 9,031.70
  4. Step 4: Simplify right side
    9,666.20x = 131,050,870.17
  5. Step 5: Solve for x
    x = 131,050,870.17/9,666.20
  6. Step 6: Final answer
    x = 13,557.64

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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.