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Finding the Fourth Proportional to 6,430.19, 9,587.52 and 5,881.01

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Solution

The fourth proportional to 6,430.19, 9,587.52 and 5,881.01 is: 8,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.19 : 9,587.52 = 5,881.01 : x
  2. Step 2: Convert to fraction form
    6,430.19/9,587.52 = 5,881.01/x
  3. Step 3: Cross multiply
    6,430.19x = 9,587.52 × 5,881.01
  4. Step 4: Simplify right side
    6,430.19x = 56,384,350.49
  5. Step 5: Solve for x
    x = 56,384,350.49/6,430.19
  6. Step 6: Final answer
    x = 8,768.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.