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Finding the Fourth Proportional to 7,148.84, 9,862.27 and 4,314.60

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Solution

The fourth proportional to 7,148.84, 9,862.27 and 4,314.60 is: 5,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.84 : 9,862.27 = 4,314.60 : x
  2. Step 2: Convert to fraction form
    7,148.84/9,862.27 = 4,314.60/x
  3. Step 3: Cross multiply
    7,148.84x = 9,862.27 × 4,314.60
  4. Step 4: Simplify right side
    7,148.84x = 42,551,739.36
  5. Step 5: Solve for x
    x = 42,551,739.36/7,148.84
  6. Step 6: Final answer
    x = 5,952.26

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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.