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Finding the Fourth Proportional to 9,064.98, 12,509.48 and 5,031.57

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Solution

The fourth proportional to 9,064.98, 12,509.48 and 5,031.57 is: 6,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.98 : 12,509.48 = 5,031.57 : x
  2. Step 2: Convert to fraction form
    9,064.98/12,509.48 = 5,031.57/x
  3. Step 3: Cross multiply
    9,064.98x = 12,509.48 × 5,031.57
  4. Step 4: Simplify right side
    9,064.98x = 62,942,383.77
  5. Step 5: Solve for x
    x = 62,942,383.77/9,064.98
  6. Step 6: Final answer
    x = 6,943.47

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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.