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Finding the Fourth Proportional to 9,038.39, 13,547.25 and 3,488.87

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Solution

The fourth proportional to 9,038.39, 13,547.25 and 3,488.87 is: 5,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.39 : 13,547.25 = 3,488.87 : x
  2. Step 2: Convert to fraction form
    9,038.39/13,547.25 = 3,488.87/x
  3. Step 3: Cross multiply
    9,038.39x = 13,547.25 × 3,488.87
  4. Step 4: Simplify right side
    9,038.39x = 47,264,627.98
  5. Step 5: Solve for x
    x = 47,264,627.98/9,038.39
  6. Step 6: Final answer
    x = 5,229.32

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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.