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Finding the Fourth Proportional to 9,374.08, 14,061.12 and 2,448

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Solution

The fourth proportional to 9,374.08, 14,061.12 and 2,448 is: 3,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.08 : 14,061.12 = 2,448 : x
  2. Step 2: Convert to fraction form
    9,374.08/14,061.12 = 2,448/x
  3. Step 3: Cross multiply
    9,374.08x = 14,061.12 × 2,448
  4. Step 4: Simplify right side
    9,374.08x = 34,421,621.76
  5. Step 5: Solve for x
    x = 34,421,621.76/9,374.08
  6. Step 6: Final answer
    x = 3,672.00

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Why These Related Problems?

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