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Finding the Fourth Proportional to 9,266.88, 13,898.66 and 4,585.38

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Solution

The fourth proportional to 9,266.88, 13,898.66 and 4,585.38 is: 6,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.88 : 13,898.66 = 4,585.38 : x
  2. Step 2: Convert to fraction form
    9,266.88/13,898.66 = 4,585.38/x
  3. Step 3: Cross multiply
    9,266.88x = 13,898.66 × 4,585.38
  4. Step 4: Simplify right side
    9,266.88x = 63,730,637.59
  5. Step 5: Solve for x
    x = 63,730,637.59/9,266.88
  6. Step 6: Final answer
    x = 6,877.25

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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.