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Finding the Fourth Proportional to 9,901.76, 13,656.33 and 7,064.12

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Solution

The fourth proportional to 9,901.76, 13,656.33 and 7,064.12 is: 9,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.76 : 13,656.33 = 7,064.12 : x
  2. Step 2: Convert to fraction form
    9,901.76/13,656.33 = 7,064.12/x
  3. Step 3: Cross multiply
    9,901.76x = 13,656.33 × 7,064.12
  4. Step 4: Simplify right side
    9,901.76x = 96,469,988.02
  5. Step 5: Solve for x
    x = 96,469,988.02/9,901.76
  6. Step 6: Final answer
    x = 9,742.72

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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.