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Finding the Fourth Proportional to 9,587.56, 14,374.16 and 6,458.78

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Solution

The fourth proportional to 9,587.56, 14,374.16 and 6,458.78 is: 9,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.56 : 14,374.16 = 6,458.78 : x
  2. Step 2: Convert to fraction form
    9,587.56/14,374.16 = 6,458.78/x
  3. Step 3: Cross multiply
    9,587.56x = 14,374.16 × 6,458.78
  4. Step 4: Simplify right side
    9,587.56x = 92,839,537.12
  5. Step 5: Solve for x
    x = 92,839,537.12/9,587.56
  6. Step 6: Final answer
    x = 9,683.33

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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.