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Finding the Fourth Proportional to 9,123.72, 12,587.64 and 7,442.22

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Solution

The fourth proportional to 9,123.72, 12,587.64 and 7,442.22 is: 10,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.72 : 12,587.64 = 7,442.22 : x
  2. Step 2: Convert to fraction form
    9,123.72/12,587.64 = 7,442.22/x
  3. Step 3: Cross multiply
    9,123.72x = 12,587.64 × 7,442.22
  4. Step 4: Simplify right side
    9,123.72x = 93,679,986.16
  5. Step 5: Solve for x
    x = 93,679,986.16/9,123.72
  6. Step 6: Final answer
    x = 10,267.74

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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.