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Finding the Fourth Proportional to 6,595.52, 9,882.29 and 4,643.61

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Solution

The fourth proportional to 6,595.52, 9,882.29 and 4,643.61 is: 6,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.52 : 9,882.29 = 4,643.61 : x
  2. Step 2: Convert to fraction form
    6,595.52/9,882.29 = 4,643.61/x
  3. Step 3: Cross multiply
    6,595.52x = 9,882.29 × 4,643.61
  4. Step 4: Simplify right side
    6,595.52x = 45,889,477.45
  5. Step 5: Solve for x
    x = 45,889,477.45/6,595.52
  6. Step 6: Final answer
    x = 6,957.68

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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.