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Finding the Fourth Proportional to 9,123.93, 12,598.15 and 7,140.14

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Solution

The fourth proportional to 9,123.93, 12,598.15 and 7,140.14 is: 9,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.93 : 12,598.15 = 7,140.14 : x
  2. Step 2: Convert to fraction form
    9,123.93/12,598.15 = 7,140.14/x
  3. Step 3: Cross multiply
    9,123.93x = 12,598.15 × 7,140.14
  4. Step 4: Simplify right side
    9,123.93x = 89,952,534.53
  5. Step 5: Solve for x
    x = 89,952,534.53/9,123.93
  6. Step 6: Final answer
    x = 9,858.97

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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.