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Finding the Fourth Proportional to 9,102.77, 12,521.14 and 7,774.23

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Solution

The fourth proportional to 9,102.77, 12,521.14 and 7,774.23 is: 10,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.77 : 12,521.14 = 7,774.23 : x
  2. Step 2: Convert to fraction form
    9,102.77/12,521.14 = 7,774.23/x
  3. Step 3: Cross multiply
    9,102.77x = 12,521.14 × 7,774.23
  4. Step 4: Simplify right side
    9,102.77x = 97,342,202.79
  5. Step 5: Solve for x
    x = 97,342,202.79/9,102.77
  6. Step 6: Final answer
    x = 10,693.70

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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.