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Finding the Fourth Proportional to 9,901.64, 14,852.90 and 5,515.78

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Solution

The fourth proportional to 9,901.64, 14,852.90 and 5,515.78 is: 8,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.64 : 14,852.90 = 5,515.78 : x
  2. Step 2: Convert to fraction form
    9,901.64/14,852.90 = 5,515.78/x
  3. Step 3: Cross multiply
    9,901.64x = 14,852.90 × 5,515.78
  4. Step 4: Simplify right side
    9,901.64x = 81,925,328.76
  5. Step 5: Solve for x
    x = 81,925,328.76/9,901.64
  6. Step 6: Final answer
    x = 8,273.92

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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.