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Finding the Fourth Proportional to 9,788.93, 14,681.87 and 3,215.08

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Solution

The fourth proportional to 9,788.93, 14,681.87 and 3,215.08 is: 4,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.93 : 14,681.87 = 3,215.08 : x
  2. Step 2: Convert to fraction form
    9,788.93/14,681.87 = 3,215.08/x
  3. Step 3: Cross multiply
    9,788.93x = 14,681.87 × 3,215.08
  4. Step 4: Simplify right side
    9,788.93x = 47,203,386.60
  5. Step 5: Solve for x
    x = 47,203,386.60/9,788.93
  6. Step 6: Final answer
    x = 4,822.12

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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.