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Finding the Fourth Proportional to 9,841.66, 13,587.14 and 6,483.24

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Solution

The fourth proportional to 9,841.66, 13,587.14 and 6,483.24 is: 8,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.66 : 13,587.14 = 6,483.24 : x
  2. Step 2: Convert to fraction form
    9,841.66/13,587.14 = 6,483.24/x
  3. Step 3: Cross multiply
    9,841.66x = 13,587.14 × 6,483.24
  4. Step 4: Simplify right side
    9,841.66x = 88,088,689.53
  5. Step 5: Solve for x
    x = 88,088,689.53/9,841.66
  6. Step 6: Final answer
    x = 8,950.59

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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.