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Finding the Fourth Proportional to 9,815.58, 14,624.13 and 9,319.86

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Solution

The fourth proportional to 9,815.58, 14,624.13 and 9,319.86 is: 13,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.58 : 14,624.13 = 9,319.86 : x
  2. Step 2: Convert to fraction form
    9,815.58/14,624.13 = 9,319.86/x
  3. Step 3: Cross multiply
    9,815.58x = 14,624.13 × 9,319.86
  4. Step 4: Simplify right side
    9,815.58x = 136,294,844.22
  5. Step 5: Solve for x
    x = 136,294,844.22/9,815.58
  6. Step 6: Final answer
    x = 13,885.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.