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Finding the Fourth Proportional to 7,140.32, 9,853.78 and 4,307.66

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Solution

The fourth proportional to 7,140.32, 9,853.78 and 4,307.66 is: 5,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.32 : 9,853.78 = 4,307.66 : x
  2. Step 2: Convert to fraction form
    7,140.32/9,853.78 = 4,307.66/x
  3. Step 3: Cross multiply
    7,140.32x = 9,853.78 × 4,307.66
  4. Step 4: Simplify right side
    7,140.32x = 42,446,733.95
  5. Step 5: Solve for x
    x = 42,446,733.95/7,140.32
  6. Step 6: Final answer
    x = 5,944.65

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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.