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Finding the Fourth Proportional to 9,658.06, 14,490.01 and 4,038.46

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Solution

The fourth proportional to 9,658.06, 14,490.01 and 4,038.46 is: 6,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.06 : 14,490.01 = 4,038.46 : x
  2. Step 2: Convert to fraction form
    9,658.06/14,490.01 = 4,038.46/x
  3. Step 3: Cross multiply
    9,658.06x = 14,490.01 × 4,038.46
  4. Step 4: Simplify right side
    9,658.06x = 58,517,325.78
  5. Step 5: Solve for x
    x = 58,517,325.78/9,658.06
  6. Step 6: Final answer
    x = 6,058.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.