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Finding the Fourth Proportional to 9,148.95, 13,714.31 and 4,989.55

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Solution

The fourth proportional to 9,148.95, 13,714.31 and 4,989.55 is: 7,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.95 : 13,714.31 = 4,989.55 : x
  2. Step 2: Convert to fraction form
    9,148.95/13,714.31 = 4,989.55/x
  3. Step 3: Cross multiply
    9,148.95x = 13,714.31 × 4,989.55
  4. Step 4: Simplify right side
    9,148.95x = 68,428,239.36
  5. Step 5: Solve for x
    x = 68,428,239.36/9,148.95
  6. Step 6: Final answer
    x = 7,479.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.