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Finding the Fourth Proportional to 9,191.57, 12,686.98 and 5,416.93

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Solution

The fourth proportional to 9,191.57, 12,686.98 and 5,416.93 is: 7,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.57 : 12,686.98 = 5,416.93 : x
  2. Step 2: Convert to fraction form
    9,191.57/12,686.98 = 5,416.93/x
  3. Step 3: Cross multiply
    9,191.57x = 12,686.98 × 5,416.93
  4. Step 4: Simplify right side
    9,191.57x = 68,724,437.31
  5. Step 5: Solve for x
    x = 68,724,437.31/9,191.57
  6. Step 6: Final answer
    x = 7,476.90

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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.