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Finding the Fourth Proportional to 6,345.16, 9,509.10 and 4,032.52

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Solution

The fourth proportional to 6,345.16, 9,509.10 and 4,032.52 is: 6,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.16 : 9,509.10 = 4,032.52 : x
  2. Step 2: Convert to fraction form
    6,345.16/9,509.10 = 4,032.52/x
  3. Step 3: Cross multiply
    6,345.16x = 9,509.10 × 4,032.52
  4. Step 4: Simplify right side
    6,345.16x = 38,345,635.93
  5. Step 5: Solve for x
    x = 38,345,635.93/6,345.16
  6. Step 6: Final answer
    x = 6,043.29

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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.