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Finding the Fourth Proportional to 6,442.04, 9,655.68 and 2,972

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Solution

The fourth proportional to 6,442.04, 9,655.68 and 2,972 is: 4,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.04 : 9,655.68 = 2,972 : x
  2. Step 2: Convert to fraction form
    6,442.04/9,655.68 = 2,972/x
  3. Step 3: Cross multiply
    6,442.04x = 9,655.68 × 2,972
  4. Step 4: Simplify right side
    6,442.04x = 28,696,680.96
  5. Step 5: Solve for x
    x = 28,696,680.96/6,442.04
  6. Step 6: Final answer
    x = 4,454.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.