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Finding the Fourth Proportional to 9,587.16, 14,356.26 and 7,642.20

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Solution

The fourth proportional to 9,587.16, 14,356.26 and 7,642.20 is: 11,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.16 : 14,356.26 = 7,642.20 : x
  2. Step 2: Convert to fraction form
    9,587.16/14,356.26 = 7,642.20/x
  3. Step 3: Cross multiply
    9,587.16x = 14,356.26 × 7,642.20
  4. Step 4: Simplify right side
    9,587.16x = 109,713,410.17
  5. Step 5: Solve for x
    x = 109,713,410.17/9,587.16
  6. Step 6: Final answer
    x = 11,443.79

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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.