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Finding the Fourth Proportional to 9,498.71, 13,089.70 and 6,841.10

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Solution

The fourth proportional to 9,498.71, 13,089.70 and 6,841.10 is: 9,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.71 : 13,089.70 = 6,841.10 : x
  2. Step 2: Convert to fraction form
    9,498.71/13,089.70 = 6,841.10/x
  3. Step 3: Cross multiply
    9,498.71x = 13,089.70 × 6,841.10
  4. Step 4: Simplify right side
    9,498.71x = 89,547,946.67
  5. Step 5: Solve for x
    x = 89,547,946.67/9,498.71
  6. Step 6: Final answer
    x = 9,427.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.