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Finding the Fourth Proportional to 9,572.22, 14,358.33 and 6,454.53

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Solution

The fourth proportional to 9,572.22, 14,358.33 and 6,454.53 is: 9,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.22 : 14,358.33 = 6,454.53 : x
  2. Step 2: Convert to fraction form
    9,572.22/14,358.33 = 6,454.53/x
  3. Step 3: Cross multiply
    9,572.22x = 14,358.33 × 6,454.53
  4. Step 4: Simplify right side
    9,572.22x = 92,676,271.73
  5. Step 5: Solve for x
    x = 92,676,271.73/9,572.22
  6. Step 6: Final answer
    x = 9,681.80

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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.