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Finding the Fourth Proportional to 9,607.03, 14,382.52 and 5,898.02

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Solution

The fourth proportional to 9,607.03, 14,382.52 and 5,898.02 is: 8,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.03 : 14,382.52 = 5,898.02 : x
  2. Step 2: Convert to fraction form
    9,607.03/14,382.52 = 5,898.02/x
  3. Step 3: Cross multiply
    9,607.03x = 14,382.52 × 5,898.02
  4. Step 4: Simplify right side
    9,607.03x = 84,828,390.61
  5. Step 5: Solve for x
    x = 84,828,390.61/9,607.03
  6. Step 6: Final answer
    x = 8,829.82

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Why These Related Problems?

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