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Finding the Fourth Proportional to 9,666.16, 13,239.36 and 9,098.76

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Solution

The fourth proportional to 9,666.16, 13,239.36 and 9,098.76 is: 12,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.16 : 13,239.36 = 9,098.76 : x
  2. Step 2: Convert to fraction form
    9,666.16/13,239.36 = 9,098.76/x
  3. Step 3: Cross multiply
    9,666.16x = 13,239.36 × 9,098.76
  4. Step 4: Simplify right side
    9,666.16x = 120,461,759.19
  5. Step 5: Solve for x
    x = 120,461,759.19/9,666.16
  6. Step 6: Final answer
    x = 12,462.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.