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Finding the Fourth Proportional to 9,291.60, 12,810.42 and 6,098.58

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Solution

The fourth proportional to 9,291.60, 12,810.42 and 6,098.58 is: 8,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.60 : 12,810.42 = 6,098.58 : x
  2. Step 2: Convert to fraction form
    9,291.60/12,810.42 = 6,098.58/x
  3. Step 3: Cross multiply
    9,291.60x = 12,810.42 × 6,098.58
  4. Step 4: Simplify right side
    9,291.60x = 78,125,371.20
  5. Step 5: Solve for x
    x = 78,125,371.20/9,291.60
  6. Step 6: Final answer
    x = 8,408.17

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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.