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Finding the Fourth Proportional to 9,520.40, 14,280.76 and 6,254.16

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Solution

The fourth proportional to 9,520.40, 14,280.76 and 6,254.16 is: 9,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.40 : 14,280.76 = 6,254.16 : x
  2. Step 2: Convert to fraction form
    9,520.40/14,280.76 = 6,254.16/x
  3. Step 3: Cross multiply
    9,520.40x = 14,280.76 × 6,254.16
  4. Step 4: Simplify right side
    9,520.40x = 89,314,157.96
  5. Step 5: Solve for x
    x = 89,314,157.96/9,520.40
  6. Step 6: Final answer
    x = 9,381.35

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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.