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Finding the Fourth Proportional to 9,897, 13,657.86 and 5,705.52

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Solution

The fourth proportional to 9,897, 13,657.86 and 5,705.52 is: 7,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 13,657.86 = 5,705.52 : x
  2. Step 2: Convert to fraction form
    9,897/13,657.86 = 5,705.52/x
  3. Step 3: Cross multiply
    9,897x = 13,657.86 × 5,705.52
  4. Step 4: Simplify right side
    9,897x = 77,925,193.39
  5. Step 5: Solve for x
    x = 77,925,193.39/9,897
  6. Step 6: Final answer
    x = 7,873.62

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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.