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Finding the Fourth Proportional to 9,102.85, 12,561.55 and 5,123.81

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Solution

The fourth proportional to 9,102.85, 12,561.55 and 5,123.81 is: 7,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.85 : 12,561.55 = 5,123.81 : x
  2. Step 2: Convert to fraction form
    9,102.85/12,561.55 = 5,123.81/x
  3. Step 3: Cross multiply
    9,102.85x = 12,561.55 × 5,123.81
  4. Step 4: Simplify right side
    9,102.85x = 64,363,014.10
  5. Step 5: Solve for x
    x = 64,363,014.10/9,102.85
  6. Step 6: Final answer
    x = 7,070.65

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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.