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Finding the Fourth Proportional to 9,347.34, 14,019.57 and 2,774.10

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Solution

The fourth proportional to 9,347.34, 14,019.57 and 2,774.10 is: 4,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.34 : 14,019.57 = 2,774.10 : x
  2. Step 2: Convert to fraction form
    9,347.34/14,019.57 = 2,774.10/x
  3. Step 3: Cross multiply
    9,347.34x = 14,019.57 × 2,774.10
  4. Step 4: Simplify right side
    9,347.34x = 38,891,689.14
  5. Step 5: Solve for x
    x = 38,891,689.14/9,347.34
  6. Step 6: Final answer
    x = 4,160.72

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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.