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Finding the Fourth Proportional to 7,246.50, 9,985.35 and 6,854.40

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Solution

The fourth proportional to 7,246.50, 9,985.35 and 6,854.40 is: 9,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.50 : 9,985.35 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    7,246.50/9,985.35 = 6,854.40/x
  3. Step 3: Cross multiply
    7,246.50x = 9,985.35 × 6,854.40
  4. Step 4: Simplify right side
    7,246.50x = 68,443,583.04
  5. Step 5: Solve for x
    x = 68,443,583.04/7,246.50
  6. Step 6: Final answer
    x = 9,445.05

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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.