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Finding the Fourth Proportional to 9,565.77, 14,357.07 and 5,127.08

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Solution

The fourth proportional to 9,565.77, 14,357.07 and 5,127.08 is: 7,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.77 : 14,357.07 = 5,127.08 : x
  2. Step 2: Convert to fraction form
    9,565.77/14,357.07 = 5,127.08/x
  3. Step 3: Cross multiply
    9,565.77x = 14,357.07 × 5,127.08
  4. Step 4: Simplify right side
    9,565.77x = 73,609,774.67
  5. Step 5: Solve for x
    x = 73,609,774.67/9,565.77
  6. Step 6: Final answer
    x = 7,695.12

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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.