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Finding the Fourth Proportional to 9,167.24, 12,602.16 and 7,886.45

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Solution

The fourth proportional to 9,167.24, 12,602.16 and 7,886.45 is: 10,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.24 : 12,602.16 = 7,886.45 : x
  2. Step 2: Convert to fraction form
    9,167.24/12,602.16 = 7,886.45/x
  3. Step 3: Cross multiply
    9,167.24x = 12,602.16 × 7,886.45
  4. Step 4: Simplify right side
    9,167.24x = 99,386,265.35
  5. Step 5: Solve for x
    x = 99,386,265.35/9,167.24
  6. Step 6: Final answer
    x = 10,841.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.