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Finding the Fourth Proportional to 9,637.59, 13,294.13 and 6,094.65

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Solution

The fourth proportional to 9,637.59, 13,294.13 and 6,094.65 is: 8,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.59 : 13,294.13 = 6,094.65 : x
  2. Step 2: Convert to fraction form
    9,637.59/13,294.13 = 6,094.65/x
  3. Step 3: Cross multiply
    9,637.59x = 13,294.13 × 6,094.65
  4. Step 4: Simplify right side
    9,637.59x = 81,023,038.93
  5. Step 5: Solve for x
    x = 81,023,038.93/9,637.59
  6. Step 6: Final answer
    x = 8,406.98

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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.