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Finding the Fourth Proportional to 10,397.61, 14,363.88 and 8,997.93

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Solution

The fourth proportional to 10,397.61, 14,363.88 and 8,997.93 is: 12,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.61 : 14,363.88 = 8,997.93 : x
  2. Step 2: Convert to fraction form
    10,397.61/14,363.88 = 8,997.93/x
  3. Step 3: Cross multiply
    10,397.61x = 14,363.88 × 8,997.93
  4. Step 4: Simplify right side
    10,397.61x = 129,245,186.77
  5. Step 5: Solve for x
    x = 129,245,186.77/10,397.61
  6. Step 6: Final answer
    x = 12,430.28

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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.