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Finding the Fourth Proportional to 9,150.03, 13,713.98 and 6,547.50

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Solution

The fourth proportional to 9,150.03, 13,713.98 and 6,547.50 is: 9,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.03 : 13,713.98 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    9,150.03/13,713.98 = 6,547.50/x
  3. Step 3: Cross multiply
    9,150.03x = 13,713.98 × 6,547.50
  4. Step 4: Simplify right side
    9,150.03x = 89,792,251.31
  5. Step 5: Solve for x
    x = 89,792,251.31/9,150.03
  6. Step 6: Final answer
    x = 9,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.