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Finding the Fourth Proportional to 9,870.60, 13,614.75 and 6,338.10

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Solution

The fourth proportional to 9,870.60, 13,614.75 and 6,338.10 is: 8,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.60 : 13,614.75 = 6,338.10 : x
  2. Step 2: Convert to fraction form
    9,870.60/13,614.75 = 6,338.10/x
  3. Step 3: Cross multiply
    9,870.60x = 13,614.75 × 6,338.10
  4. Step 4: Simplify right side
    9,870.60x = 86,291,646.98
  5. Step 5: Solve for x
    x = 86,291,646.98/9,870.60
  6. Step 6: Final answer
    x = 8,742.29

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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.