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Finding the Fourth Proportional to 9,063.48, 12,507.78 and 5,085

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Solution

The fourth proportional to 9,063.48, 12,507.78 and 5,085 is: 7,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063.48 : 12,507.78 = 5,085 : x
  2. Step 2: Convert to fraction form
    9,063.48/12,507.78 = 5,085/x
  3. Step 3: Cross multiply
    9,063.48x = 12,507.78 × 5,085
  4. Step 4: Simplify right side
    9,063.48x = 63,602,061.30
  5. Step 5: Solve for x
    x = 63,602,061.30/9,063.48
  6. Step 6: Final answer
    x = 7,017.40

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Why These Related Problems?

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