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Finding the Fourth Proportional to 9,615.60, 14,404.70 and 6,318.76

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Solution

The fourth proportional to 9,615.60, 14,404.70 and 6,318.76 is: 9,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.60 : 14,404.70 = 6,318.76 : x
  2. Step 2: Convert to fraction form
    9,615.60/14,404.70 = 6,318.76/x
  3. Step 3: Cross multiply
    9,615.60x = 14,404.70 × 6,318.76
  4. Step 4: Simplify right side
    9,615.60x = 91,019,842.17
  5. Step 5: Solve for x
    x = 91,019,842.17/9,615.60
  6. Step 6: Final answer
    x = 9,465.85

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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.