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Finding the Fourth Proportional to 7,142.40, 9,868.80 and 6,374.40

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Solution

The fourth proportional to 7,142.40, 9,868.80 and 6,374.40 is: 8,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.40 : 9,868.80 = 6,374.40 : x
  2. Step 2: Convert to fraction form
    7,142.40/9,868.80 = 6,374.40/x
  3. Step 3: Cross multiply
    7,142.40x = 9,868.80 × 6,374.40
  4. Step 4: Simplify right side
    7,142.40x = 62,907,678.72
  5. Step 5: Solve for x
    x = 62,907,678.72/7,142.40
  6. Step 6: Final answer
    x = 8,807.64

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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.