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Finding the Fourth Proportional to 9,964.85, 13,742.34 and 6,560.42

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Solution

The fourth proportional to 9,964.85, 13,742.34 and 6,560.42 is: 9,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.85 : 13,742.34 = 6,560.42 : x
  2. Step 2: Convert to fraction form
    9,964.85/13,742.34 = 6,560.42/x
  3. Step 3: Cross multiply
    9,964.85x = 13,742.34 × 6,560.42
  4. Step 4: Simplify right side
    9,964.85x = 90,155,522.18
  5. Step 5: Solve for x
    x = 90,155,522.18/9,964.85
  6. Step 6: Final answer
    x = 9,047.35

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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.