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Finding the Fourth Proportional to 9,465.84, 13,049.18 and 6,624.42

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Solution

The fourth proportional to 9,465.84, 13,049.18 and 6,624.42 is: 9,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.84 : 13,049.18 = 6,624.42 : x
  2. Step 2: Convert to fraction form
    9,465.84/13,049.18 = 6,624.42/x
  3. Step 3: Cross multiply
    9,465.84x = 13,049.18 × 6,624.42
  4. Step 4: Simplify right side
    9,465.84x = 86,443,248.98
  5. Step 5: Solve for x
    x = 86,443,248.98/9,465.84
  6. Step 6: Final answer
    x = 9,132.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.