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Finding the Fourth Proportional to 9,842.04, 13,587.52 and 6,494.58

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Solution

The fourth proportional to 9,842.04, 13,587.52 and 6,494.58 is: 8,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.04 : 13,587.52 = 6,494.58 : x
  2. Step 2: Convert to fraction form
    9,842.04/13,587.52 = 6,494.58/x
  3. Step 3: Cross multiply
    9,842.04x = 13,587.52 × 6,494.58
  4. Step 4: Simplify right side
    9,842.04x = 88,245,235.64
  5. Step 5: Solve for x
    x = 88,245,235.64/9,842.04
  6. Step 6: Final answer
    x = 8,966.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.