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Finding the Fourth Proportional to 9,498.44, 14,307.62 and 8,776.74

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Solution

The fourth proportional to 9,498.44, 14,307.62 and 8,776.74 is: 13,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.44 : 14,307.62 = 8,776.74 : x
  2. Step 2: Convert to fraction form
    9,498.44/14,307.62 = 8,776.74/x
  3. Step 3: Cross multiply
    9,498.44x = 14,307.62 × 8,776.74
  4. Step 4: Simplify right side
    9,498.44x = 125,574,260.76
  5. Step 5: Solve for x
    x = 125,574,260.76/9,498.44
  6. Step 6: Final answer
    x = 13,220.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.