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Finding the Fourth Proportional to 9,737.06, 13,436.93 and 5,488.04

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Solution

The fourth proportional to 9,737.06, 13,436.93 and 5,488.04 is: 7,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.06 : 13,436.93 = 5,488.04 : x
  2. Step 2: Convert to fraction form
    9,737.06/13,436.93 = 5,488.04/x
  3. Step 3: Cross multiply
    9,737.06x = 13,436.93 × 5,488.04
  4. Step 4: Simplify right side
    9,737.06x = 73,742,456.63
  5. Step 5: Solve for x
    x = 73,742,456.63/9,737.06
  6. Step 6: Final answer
    x = 7,573.38

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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.