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Finding the Fourth Proportional to 9,894.32, 13,657.20 and 5,705.36

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Solution

The fourth proportional to 9,894.32, 13,657.20 and 5,705.36 is: 7,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.32 : 13,657.20 = 5,705.36 : x
  2. Step 2: Convert to fraction form
    9,894.32/13,657.20 = 5,705.36/x
  3. Step 3: Cross multiply
    9,894.32x = 13,657.20 × 5,705.36
  4. Step 4: Simplify right side
    9,894.32x = 77,919,242.59
  5. Step 5: Solve for x
    x = 77,919,242.59/9,894.32
  6. Step 6: Final answer
    x = 7,875.15

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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.