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Finding the Fourth Proportional to 9,686.64, 14,543.48 and 6,420.72

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Solution

The fourth proportional to 9,686.64, 14,543.48 and 6,420.72 is: 9,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.64 : 14,543.48 = 6,420.72 : x
  2. Step 2: Convert to fraction form
    9,686.64/14,543.48 = 6,420.72/x
  3. Step 3: Cross multiply
    9,686.64x = 14,543.48 × 6,420.72
  4. Step 4: Simplify right side
    9,686.64x = 93,379,612.91
  5. Step 5: Solve for x
    x = 93,379,612.91/9,686.64
  6. Step 6: Final answer
    x = 9,640.04

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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.