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Finding the Fourth Proportional to 9,854.70, 13,599.51 and 6,317.92

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Solution

The fourth proportional to 9,854.70, 13,599.51 and 6,317.92 is: 8,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.70 : 13,599.51 = 6,317.92 : x
  2. Step 2: Convert to fraction form
    9,854.70/13,599.51 = 6,317.92/x
  3. Step 3: Cross multiply
    9,854.70x = 13,599.51 × 6,317.92
  4. Step 4: Simplify right side
    9,854.70x = 85,920,616.22
  5. Step 5: Solve for x
    x = 85,920,616.22/9,854.70
  6. Step 6: Final answer
    x = 8,718.74

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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.