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Finding the Fourth Proportional to 9,849.02, 14,774.40 and 3,275.26

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Solution

The fourth proportional to 9,849.02, 14,774.40 and 3,275.26 is: 4,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.02 : 14,774.40 = 3,275.26 : x
  2. Step 2: Convert to fraction form
    9,849.02/14,774.40 = 3,275.26/x
  3. Step 3: Cross multiply
    9,849.02x = 14,774.40 × 3,275.26
  4. Step 4: Simplify right side
    9,849.02x = 48,390,001.34
  5. Step 5: Solve for x
    x = 48,390,001.34/9,849.02
  6. Step 6: Final answer
    x = 4,913.18

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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.