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Finding the Fourth Proportional to 9,032.49, 12,437.14 and 7,907.13

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Solution

The fourth proportional to 9,032.49, 12,437.14 and 7,907.13 is: 10,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.49 : 12,437.14 = 7,907.13 : x
  2. Step 2: Convert to fraction form
    9,032.49/12,437.14 = 7,907.13/x
  3. Step 3: Cross multiply
    9,032.49x = 12,437.14 × 7,907.13
  4. Step 4: Simplify right side
    9,032.49x = 98,342,082.81
  5. Step 5: Solve for x
    x = 98,342,082.81/9,032.49
  6. Step 6: Final answer
    x = 10,887.59

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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.