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Finding the Fourth Proportional to 6,411.48, 9,609.88 and 2,904.16

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Solution

The fourth proportional to 6,411.48, 9,609.88 and 2,904.16 is: 4,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.48 : 9,609.88 = 2,904.16 : x
  2. Step 2: Convert to fraction form
    6,411.48/9,609.88 = 2,904.16/x
  3. Step 3: Cross multiply
    6,411.48x = 9,609.88 × 2,904.16
  4. Step 4: Simplify right side
    6,411.48x = 27,908,629.10
  5. Step 5: Solve for x
    x = 27,908,629.10/6,411.48
  6. Step 6: Final answer
    x = 4,352.92

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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.