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Finding the Fourth Proportional to 9,065.10, 12,509.64 and 5,031.69

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Solution

The fourth proportional to 9,065.10, 12,509.64 and 5,031.69 is: 6,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.10 : 12,509.64 = 5,031.69 : x
  2. Step 2: Convert to fraction form
    9,065.10/12,509.64 = 5,031.69/x
  3. Step 3: Cross multiply
    9,065.10x = 12,509.64 × 5,031.69
  4. Step 4: Simplify right side
    9,065.10x = 62,944,630.49
  5. Step 5: Solve for x
    x = 62,944,630.49/9,065.10
  6. Step 6: Final answer
    x = 6,943.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.