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Finding the Fourth Proportional to 9,503.80, 13,116.60 and 6,854.76

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Solution

The fourth proportional to 9,503.80, 13,116.60 and 6,854.76 is: 9,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.80 : 13,116.60 = 6,854.76 : x
  2. Step 2: Convert to fraction form
    9,503.80/13,116.60 = 6,854.76/x
  3. Step 3: Cross multiply
    9,503.80x = 13,116.60 × 6,854.76
  4. Step 4: Simplify right side
    9,503.80x = 89,911,145.02
  5. Step 5: Solve for x
    x = 89,911,145.02/9,503.80
  6. Step 6: Final answer
    x = 9,460.55

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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.