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Finding the Fourth Proportional to 9,624.19, 14,449.71 and 4,948.17

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Solution

The fourth proportional to 9,624.19, 14,449.71 and 4,948.17 is: 7,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.19 : 14,449.71 = 4,948.17 : x
  2. Step 2: Convert to fraction form
    9,624.19/14,449.71 = 4,948.17/x
  3. Step 3: Cross multiply
    9,624.19x = 14,449.71 × 4,948.17
  4. Step 4: Simplify right side
    9,624.19x = 71,499,621.53
  5. Step 5: Solve for x
    x = 71,499,621.53/9,624.19
  6. Step 6: Final answer
    x = 7,429.16

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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.