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Finding the Fourth Proportional to 7,159.08, 9,885.06 and 4,642.95

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Solution

The fourth proportional to 7,159.08, 9,885.06 and 4,642.95 is: 6,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.08 : 9,885.06 = 4,642.95 : x
  2. Step 2: Convert to fraction form
    7,159.08/9,885.06 = 4,642.95/x
  3. Step 3: Cross multiply
    7,159.08x = 9,885.06 × 4,642.95
  4. Step 4: Simplify right side
    7,159.08x = 45,895,839.33
  5. Step 5: Solve for x
    x = 45,895,839.33/7,159.08
  6. Step 6: Final answer
    x = 6,410.86

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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.