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Finding the Fourth Proportional to 8,897.27, 12,279.11 and 7,642.46

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Solution

The fourth proportional to 8,897.27, 12,279.11 and 7,642.46 is: 10,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.27 : 12,279.11 = 7,642.46 : x
  2. Step 2: Convert to fraction form
    8,897.27/12,279.11 = 7,642.46/x
  3. Step 3: Cross multiply
    8,897.27x = 12,279.11 × 7,642.46
  4. Step 4: Simplify right side
    8,897.27x = 93,842,507.40
  5. Step 5: Solve for x
    x = 93,842,507.40/8,897.27
  6. Step 6: Final answer
    x = 10,547.34

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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.