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Finding the Fourth Proportional to 9,543.08, 14,307.42 and 6,257

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Solution

The fourth proportional to 9,543.08, 14,307.42 and 6,257 is: 9,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.08 : 14,307.42 = 6,257 : x
  2. Step 2: Convert to fraction form
    9,543.08/14,307.42 = 6,257/x
  3. Step 3: Cross multiply
    9,543.08x = 14,307.42 × 6,257
  4. Step 4: Simplify right side
    9,543.08x = 89,521,526.94
  5. Step 5: Solve for x
    x = 89,521,526.94/9,543.08
  6. Step 6: Final answer
    x = 9,380.78

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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.