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Finding the Fourth Proportional to 9,488.52, 14,220.54 and 4,547.88

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Solution

The fourth proportional to 9,488.52, 14,220.54 and 4,547.88 is: 6,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.52 : 14,220.54 = 4,547.88 : x
  2. Step 2: Convert to fraction form
    9,488.52/14,220.54 = 4,547.88/x
  3. Step 3: Cross multiply
    9,488.52x = 14,220.54 × 4,547.88
  4. Step 4: Simplify right side
    9,488.52x = 64,673,309.46
  5. Step 5: Solve for x
    x = 64,673,309.46/9,488.52
  6. Step 6: Final answer
    x = 6,815.95

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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.