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Finding the Fourth Proportional to 9,898.59, 13,660.14 and 5,706.84

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Solution

The fourth proportional to 9,898.59, 13,660.14 and 5,706.84 is: 7,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.59 : 13,660.14 = 5,706.84 : x
  2. Step 2: Convert to fraction form
    9,898.59/13,660.14 = 5,706.84/x
  3. Step 3: Cross multiply
    9,898.59x = 13,660.14 × 5,706.84
  4. Step 4: Simplify right side
    9,898.59x = 77,956,233.36
  5. Step 5: Solve for x
    x = 77,956,233.36/9,898.59
  6. Step 6: Final answer
    x = 7,875.49

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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.