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Finding the Fourth Proportional to 6,870.18, 9,486.62 and 5,109.66

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Solution

The fourth proportional to 6,870.18, 9,486.62 and 5,109.66 is: 7,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.18 : 9,486.62 = 5,109.66 : x
  2. Step 2: Convert to fraction form
    6,870.18/9,486.62 = 5,109.66/x
  3. Step 3: Cross multiply
    6,870.18x = 9,486.62 × 5,109.66
  4. Step 4: Simplify right side
    6,870.18x = 48,473,402.75
  5. Step 5: Solve for x
    x = 48,473,402.75/6,870.18
  6. Step 6: Final answer
    x = 7,055.62

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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.