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Finding the Fourth Proportional to 9,337.95, 12,902.76 and 7,464.99

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Solution

The fourth proportional to 9,337.95, 12,902.76 and 7,464.99 is: 10,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.95 : 12,902.76 = 7,464.99 : x
  2. Step 2: Convert to fraction form
    9,337.95/12,902.76 = 7,464.99/x
  3. Step 3: Cross multiply
    9,337.95x = 12,902.76 × 7,464.99
  4. Step 4: Simplify right side
    9,337.95x = 96,319,022.76
  5. Step 5: Solve for x
    x = 96,319,022.76/9,337.95
  6. Step 6: Final answer
    x = 10,314.79

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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.