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Finding the Fourth Proportional to 38,516, 57,774 and 9,332

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Solution

The fourth proportional to 38,516, 57,774 and 9,332 is: 13,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 57,774 = 9,332 : x
  2. Step 2: Convert to fraction form
    38,516/57,774 = 9,332/x
  3. Step 3: Cross multiply
    38,516x = 57,774 × 9,332
  4. Step 4: Simplify right side
    38,516x = 539,146,968
  5. Step 5: Solve for x
    x = 539,146,968/38,516
  6. Step 6: Final answer
    x = 13,998

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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.