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Finding the Fourth Proportional to 7,148.97, 9,864.32 and 4,315.59

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Solution

The fourth proportional to 7,148.97, 9,864.32 and 4,315.59 is: 5,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.97 : 9,864.32 = 4,315.59 : x
  2. Step 2: Convert to fraction form
    7,148.97/9,864.32 = 4,315.59/x
  3. Step 3: Cross multiply
    7,148.97x = 9,864.32 × 4,315.59
  4. Step 4: Simplify right side
    7,148.97x = 42,570,339.17
  5. Step 5: Solve for x
    x = 42,570,339.17/7,148.97
  6. Step 6: Final answer
    x = 5,954.75

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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.