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Finding the Fourth Proportional to 7,024.20, 9,695.88 and 4,667.10

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Solution

The fourth proportional to 7,024.20, 9,695.88 and 4,667.10 is: 6,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.20 : 9,695.88 = 4,667.10 : x
  2. Step 2: Convert to fraction form
    7,024.20/9,695.88 = 4,667.10/x
  3. Step 3: Cross multiply
    7,024.20x = 9,695.88 × 4,667.10
  4. Step 4: Simplify right side
    7,024.20x = 45,251,641.55
  5. Step 5: Solve for x
    x = 45,251,641.55/7,024.20
  6. Step 6: Final answer
    x = 6,442.25

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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.