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Finding the Fourth Proportional to 9,901.78, 14,859.96 and 4,707.70

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Solution

The fourth proportional to 9,901.78, 14,859.96 and 4,707.70 is: 7,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.78 : 14,859.96 = 4,707.70 : x
  2. Step 2: Convert to fraction form
    9,901.78/14,859.96 = 4,707.70/x
  3. Step 3: Cross multiply
    9,901.78x = 14,859.96 × 4,707.70
  4. Step 4: Simplify right side
    9,901.78x = 69,956,233.69
  5. Step 5: Solve for x
    x = 69,956,233.69/9,901.78
  6. Step 6: Final answer
    x = 7,065.02

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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.