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Finding the Fourth Proportional to 9,030.57, 12,462.84 and 5,052.96

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Solution

The fourth proportional to 9,030.57, 12,462.84 and 5,052.96 is: 6,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.57 : 12,462.84 = 5,052.96 : x
  2. Step 2: Convert to fraction form
    9,030.57/12,462.84 = 5,052.96/x
  3. Step 3: Cross multiply
    9,030.57x = 12,462.84 × 5,052.96
  4. Step 4: Simplify right side
    9,030.57x = 62,974,232.01
  5. Step 5: Solve for x
    x = 62,974,232.01/9,030.57
  6. Step 6: Final answer
    x = 6,973.45

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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.