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Finding the Fourth Proportional to 9,117, 12,582.38 and 5,579.53

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Solution

The fourth proportional to 9,117, 12,582.38 and 5,579.53 is: 7,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117 : 12,582.38 = 5,579.53 : x
  2. Step 2: Convert to fraction form
    9,117/12,582.38 = 5,579.53/x
  3. Step 3: Cross multiply
    9,117x = 12,582.38 × 5,579.53
  4. Step 4: Simplify right side
    9,117x = 70,203,749.17
  5. Step 5: Solve for x
    x = 70,203,749.17/9,117
  6. Step 6: Final answer
    x = 7,700.31

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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.