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Finding the Fourth Proportional to 8,897.97, 12,277.16 and 5,312.23

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Solution

The fourth proportional to 8,897.97, 12,277.16 and 5,312.23 is: 7,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.97 : 12,277.16 = 5,312.23 : x
  2. Step 2: Convert to fraction form
    8,897.97/12,277.16 = 5,312.23/x
  3. Step 3: Cross multiply
    8,897.97x = 12,277.16 × 5,312.23
  4. Step 4: Simplify right side
    8,897.97x = 65,219,044.23
  5. Step 5: Solve for x
    x = 65,219,044.23/8,897.97
  6. Step 6: Final answer
    x = 7,329.66

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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.