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Finding the Fourth Proportional to 7,002.40, 9,664.60 and 4,349.20

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Solution

The fourth proportional to 7,002.40, 9,664.60 and 4,349.20 is: 6,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 9,664.60 = 4,349.20 : x
  2. Step 2: Convert to fraction form
    7,002.40/9,664.60 = 4,349.20/x
  3. Step 3: Cross multiply
    7,002.40x = 9,664.60 × 4,349.20
  4. Step 4: Simplify right side
    7,002.40x = 42,033,278.32
  5. Step 5: Solve for x
    x = 42,033,278.32/7,002.40
  6. Step 6: Final answer
    x = 6,002.70

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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.