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Finding the Fourth Proportional to 8,869.78, 13,303.64 and 2,295.46

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Solution

The fourth proportional to 8,869.78, 13,303.64 and 2,295.46 is: 3,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869.78 : 13,303.64 = 2,295.46 : x
  2. Step 2: Convert to fraction form
    8,869.78/13,303.64 = 2,295.46/x
  3. Step 3: Cross multiply
    8,869.78x = 13,303.64 × 2,295.46
  4. Step 4: Simplify right side
    8,869.78x = 30,537,973.47
  5. Step 5: Solve for x
    x = 30,537,973.47/8,869.78
  6. Step 6: Final answer
    x = 3,442.92

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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.