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Finding the Fourth Proportional to 9,275.51, 13,894.74 and 5,575.74

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Solution

The fourth proportional to 9,275.51, 13,894.74 and 5,575.74 is: 8,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.51 : 13,894.74 = 5,575.74 : x
  2. Step 2: Convert to fraction form
    9,275.51/13,894.74 = 5,575.74/x
  3. Step 3: Cross multiply
    9,275.51x = 13,894.74 × 5,575.74
  4. Step 4: Simplify right side
    9,275.51x = 77,473,405.50
  5. Step 5: Solve for x
    x = 77,473,405.50/9,275.51
  6. Step 6: Final answer
    x = 8,352.47

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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.