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Finding the Fourth Proportional to 9,464.17, 14,178.06 and 5,291.53

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Solution

The fourth proportional to 9,464.17, 14,178.06 and 5,291.53 is: 7,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.17 : 14,178.06 = 5,291.53 : x
  2. Step 2: Convert to fraction form
    9,464.17/14,178.06 = 5,291.53/x
  3. Step 3: Cross multiply
    9,464.17x = 14,178.06 × 5,291.53
  4. Step 4: Simplify right side
    9,464.17x = 75,023,594.39
  5. Step 5: Solve for x
    x = 75,023,594.39/9,464.17
  6. Step 6: Final answer
    x = 7,927.12

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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.