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Finding the Fourth Proportional to 9,547.95, 13,176.30 and 5,299.10

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Solution

The fourth proportional to 9,547.95, 13,176.30 and 5,299.10 is: 7,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.95 : 13,176.30 = 5,299.10 : x
  2. Step 2: Convert to fraction form
    9,547.95/13,176.30 = 5,299.10/x
  3. Step 3: Cross multiply
    9,547.95x = 13,176.30 × 5,299.10
  4. Step 4: Simplify right side
    9,547.95x = 69,822,531.33
  5. Step 5: Solve for x
    x = 69,822,531.33/9,547.95
  6. Step 6: Final answer
    x = 7,312.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.