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Finding the Fourth Proportional to 9,510.40, 14,265.76 and 6,244.16

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Solution

The fourth proportional to 9,510.40, 14,265.76 and 6,244.16 is: 9,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.40 : 14,265.76 = 6,244.16 : x
  2. Step 2: Convert to fraction form
    9,510.40/14,265.76 = 6,244.16/x
  3. Step 3: Cross multiply
    9,510.40x = 14,265.76 × 6,244.16
  4. Step 4: Simplify right side
    9,510.40x = 89,077,687.96
  5. Step 5: Solve for x
    x = 89,077,687.96/9,510.40
  6. Step 6: Final answer
    x = 9,366.35

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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.