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Finding the Fourth Proportional to 9,854.75, 13,601.84 and 6,498.17

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Solution

The fourth proportional to 9,854.75, 13,601.84 and 6,498.17 is: 8,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.75 : 13,601.84 = 6,498.17 : x
  2. Step 2: Convert to fraction form
    9,854.75/13,601.84 = 6,498.17/x
  3. Step 3: Cross multiply
    9,854.75x = 13,601.84 × 6,498.17
  4. Step 4: Simplify right side
    9,854.75x = 88,387,068.63
  5. Step 5: Solve for x
    x = 88,387,068.63/9,854.75
  6. Step 6: Final answer
    x = 8,968.98

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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.