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Finding the Fourth Proportional to 9,740.88, 13,431.12 and 7,089.36

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Solution

The fourth proportional to 9,740.88, 13,431.12 and 7,089.36 is: 9,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.88 : 13,431.12 = 7,089.36 : x
  2. Step 2: Convert to fraction form
    9,740.88/13,431.12 = 7,089.36/x
  3. Step 3: Cross multiply
    9,740.88x = 13,431.12 × 7,089.36
  4. Step 4: Simplify right side
    9,740.88x = 95,218,044.88
  5. Step 5: Solve for x
    x = 95,218,044.88/9,740.88
  6. Step 6: Final answer
    x = 9,775.10

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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.