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Finding the Fourth Proportional to 9,626.88, 13,281.38 and 5,848.68

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Solution

The fourth proportional to 9,626.88, 13,281.38 and 5,848.68 is: 8,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.88 : 13,281.38 = 5,848.68 : x
  2. Step 2: Convert to fraction form
    9,626.88/13,281.38 = 5,848.68/x
  3. Step 3: Cross multiply
    9,626.88x = 13,281.38 × 5,848.68
  4. Step 4: Simplify right side
    9,626.88x = 77,678,541.58
  5. Step 5: Solve for x
    x = 77,678,541.58/9,626.88
  6. Step 6: Final answer
    x = 8,068.92

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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.