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Finding the Fourth Proportional to 9,886.06, 14,829 and 4,038.55

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Solution

The fourth proportional to 9,886.06, 14,829 and 4,038.55 is: 6,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.06 : 14,829 = 4,038.55 : x
  2. Step 2: Convert to fraction form
    9,886.06/14,829 = 4,038.55/x
  3. Step 3: Cross multiply
    9,886.06x = 14,829 × 4,038.55
  4. Step 4: Simplify right side
    9,886.06x = 59,887,657.95
  5. Step 5: Solve for x
    x = 59,887,657.95/9,886.06
  6. Step 6: Final answer
    x = 6,057.79

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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.