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Finding the Fourth Proportional to 9,017.64, 12,443.52 and 5,038.20

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Solution

The fourth proportional to 9,017.64, 12,443.52 and 5,038.20 is: 6,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.64 : 12,443.52 = 5,038.20 : x
  2. Step 2: Convert to fraction form
    9,017.64/12,443.52 = 5,038.20/x
  3. Step 3: Cross multiply
    9,017.64x = 12,443.52 × 5,038.20
  4. Step 4: Simplify right side
    9,017.64x = 62,692,942.46
  5. Step 5: Solve for x
    x = 62,692,942.46/9,017.64
  6. Step 6: Final answer
    x = 6,952.26

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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.