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Finding the Fourth Proportional to 9,848.71, 14,775.29 and 3,275.16

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Solution

The fourth proportional to 9,848.71, 14,775.29 and 3,275.16 is: 4,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.71 : 14,775.29 = 3,275.16 : x
  2. Step 2: Convert to fraction form
    9,848.71/14,775.29 = 3,275.16/x
  3. Step 3: Cross multiply
    9,848.71x = 14,775.29 × 3,275.16
  4. Step 4: Simplify right side
    9,848.71x = 48,391,438.80
  5. Step 5: Solve for x
    x = 48,391,438.80/9,848.71
  6. Step 6: Final answer
    x = 4,913.48

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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.