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Finding the Fourth Proportional to 9,545.84, 14,314.16 and 7,460.56

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Solution

The fourth proportional to 9,545.84, 14,314.16 and 7,460.56 is: 11,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.84 : 14,314.16 = 7,460.56 : x
  2. Step 2: Convert to fraction form
    9,545.84/14,314.16 = 7,460.56/x
  3. Step 3: Cross multiply
    9,545.84x = 14,314.16 × 7,460.56
  4. Step 4: Simplify right side
    9,545.84x = 106,791,649.53
  5. Step 5: Solve for x
    x = 106,791,649.53/9,545.84
  6. Step 6: Final answer
    x = 11,187.24

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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.