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Finding the Fourth Proportional to 9,535.59, 14,306.37 and 4,275.01

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Solution

The fourth proportional to 9,535.59, 14,306.37 and 4,275.01 is: 6,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.59 : 14,306.37 = 4,275.01 : x
  2. Step 2: Convert to fraction form
    9,535.59/14,306.37 = 4,275.01/x
  3. Step 3: Cross multiply
    9,535.59x = 14,306.37 × 4,275.01
  4. Step 4: Simplify right side
    9,535.59x = 61,159,781.91
  5. Step 5: Solve for x
    x = 61,159,781.91/9,535.59
  6. Step 6: Final answer
    x = 6,413.85

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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.