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Finding the Fourth Proportional to 9,102.30, 12,561.22 and 5,123.48

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Solution

The fourth proportional to 9,102.30, 12,561.22 and 5,123.48 is: 7,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.30 : 12,561.22 = 5,123.48 : x
  2. Step 2: Convert to fraction form
    9,102.30/12,561.22 = 5,123.48/x
  3. Step 3: Cross multiply
    9,102.30x = 12,561.22 × 5,123.48
  4. Step 4: Simplify right side
    9,102.30x = 64,357,159.45
  5. Step 5: Solve for x
    x = 64,357,159.45/9,102.30
  6. Step 6: Final answer
    x = 7,070.43

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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.