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Finding the Fourth Proportional to 9,875.70, 14,813.55 and 9,729.90

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Solution

The fourth proportional to 9,875.70, 14,813.55 and 9,729.90 is: 14,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.70 : 14,813.55 = 9,729.90 : x
  2. Step 2: Convert to fraction form
    9,875.70/14,813.55 = 9,729.90/x
  3. Step 3: Cross multiply
    9,875.70x = 14,813.55 × 9,729.90
  4. Step 4: Simplify right side
    9,875.70x = 144,134,360.15
  5. Step 5: Solve for x
    x = 144,134,360.15/9,875.70
  6. Step 6: Final answer
    x = 14,594.85

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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.