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Finding the Fourth Proportional to 9,561.61, 13,194.84 and 5,312.68

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Solution

The fourth proportional to 9,561.61, 13,194.84 and 5,312.68 is: 7,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.61 : 13,194.84 = 5,312.68 : x
  2. Step 2: Convert to fraction form
    9,561.61/13,194.84 = 5,312.68/x
  3. Step 3: Cross multiply
    9,561.61x = 13,194.84 × 5,312.68
  4. Step 4: Simplify right side
    9,561.61x = 70,099,962.57
  5. Step 5: Solve for x
    x = 70,099,962.57/9,561.61
  6. Step 6: Final answer
    x = 7,331.40

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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.