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Finding the Fourth Proportional to 9,902.86, 14,854.59 and 4,353.35

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Solution

The fourth proportional to 9,902.86, 14,854.59 and 4,353.35 is: 6,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.86 : 14,854.59 = 4,353.35 : x
  2. Step 2: Convert to fraction form
    9,902.86/14,854.59 = 4,353.35/x
  3. Step 3: Cross multiply
    9,902.86x = 14,854.59 × 4,353.35
  4. Step 4: Simplify right side
    9,902.86x = 64,667,155.10
  5. Step 5: Solve for x
    x = 64,667,155.10/9,902.86
  6. Step 6: Final answer
    x = 6,530.15

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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.