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Finding the Fourth Proportional to 9,655.46, 14,499.29 and 6,513.15

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Solution

The fourth proportional to 9,655.46, 14,499.29 and 6,513.15 is: 9,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.46 : 14,499.29 = 6,513.15 : x
  2. Step 2: Convert to fraction form
    9,655.46/14,499.29 = 6,513.15/x
  3. Step 3: Cross multiply
    9,655.46x = 14,499.29 × 6,513.15
  4. Step 4: Simplify right side
    9,655.46x = 94,436,012.57
  5. Step 5: Solve for x
    x = 94,436,012.57/9,655.46
  6. Step 6: Final answer
    x = 9,780.58

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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.