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Finding the Fourth Proportional to 9,565.72, 13,197.10 and 7,053.83

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Solution

The fourth proportional to 9,565.72, 13,197.10 and 7,053.83 is: 9,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.72 : 13,197.10 = 7,053.83 : x
  2. Step 2: Convert to fraction form
    9,565.72/13,197.10 = 7,053.83/x
  3. Step 3: Cross multiply
    9,565.72x = 13,197.10 × 7,053.83
  4. Step 4: Simplify right side
    9,565.72x = 93,090,099.89
  5. Step 5: Solve for x
    x = 93,090,099.89/9,565.72
  6. Step 6: Final answer
    x = 9,731.64

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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.