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Finding the Fourth Proportional to 9,897.76, 13,659.56 and 5,706.28

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Solution

The fourth proportional to 9,897.76, 13,659.56 and 5,706.28 is: 7,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.76 : 13,659.56 = 5,706.28 : x
  2. Step 2: Convert to fraction form
    9,897.76/13,659.56 = 5,706.28/x
  3. Step 3: Cross multiply
    9,897.76x = 13,659.56 × 5,706.28
  4. Step 4: Simplify right side
    9,897.76x = 77,945,274.04
  5. Step 5: Solve for x
    x = 77,945,274.04/9,897.76
  6. Step 6: Final answer
    x = 7,875.04

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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.