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Finding the Fourth Proportional to 6,565.74, 9,851.45 and 3,602.36

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Solution

The fourth proportional to 6,565.74, 9,851.45 and 3,602.36 is: 5,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.74 : 9,851.45 = 3,602.36 : x
  2. Step 2: Convert to fraction form
    6,565.74/9,851.45 = 3,602.36/x
  3. Step 3: Cross multiply
    6,565.74x = 9,851.45 × 3,602.36
  4. Step 4: Simplify right side
    6,565.74x = 35,488,402.15
  5. Step 5: Solve for x
    x = 35,488,402.15/6,565.74
  6. Step 6: Final answer
    x = 5,405.09

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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.