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Finding the Fourth Proportional to 9,728.06, 14,565.52 and 7,349.16

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Solution

The fourth proportional to 9,728.06, 14,565.52 and 7,349.16 is: 11,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.06 : 14,565.52 = 7,349.16 : x
  2. Step 2: Convert to fraction form
    9,728.06/14,565.52 = 7,349.16/x
  3. Step 3: Cross multiply
    9,728.06x = 14,565.52 × 7,349.16
  4. Step 4: Simplify right side
    9,728.06x = 107,044,400.77
  5. Step 5: Solve for x
    x = 107,044,400.77/9,728.06
  6. Step 6: Final answer
    x = 11,003.68

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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.