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Finding the Fourth Proportional to 9,587.06, 13,228.16 and 5,607.40

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Solution

The fourth proportional to 9,587.06, 13,228.16 and 5,607.40 is: 7,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.06 : 13,228.16 = 5,607.40 : x
  2. Step 2: Convert to fraction form
    9,587.06/13,228.16 = 5,607.40/x
  3. Step 3: Cross multiply
    9,587.06x = 13,228.16 × 5,607.40
  4. Step 4: Simplify right side
    9,587.06x = 74,175,584.38
  5. Step 5: Solve for x
    x = 74,175,584.38/9,587.06
  6. Step 6: Final answer
    x = 7,737.05

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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.