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Finding the Fourth Proportional to 9,594, 14,397.53 and 3,438

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Solution

The fourth proportional to 9,594, 14,397.53 and 3,438 is: 5,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594 : 14,397.53 = 3,438 : x
  2. Step 2: Convert to fraction form
    9,594/14,397.53 = 3,438/x
  3. Step 3: Cross multiply
    9,594x = 14,397.53 × 3,438
  4. Step 4: Simplify right side
    9,594x = 49,498,690.95
  5. Step 5: Solve for x
    x = 49,498,690.95/9,594
  6. Step 6: Final answer
    x = 5,159.34

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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.