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Finding the Fourth Proportional to 9,510.72, 13,124.70 and 5,319

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Solution

The fourth proportional to 9,510.72, 13,124.70 and 5,319 is: 7,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.72 : 13,124.70 = 5,319 : x
  2. Step 2: Convert to fraction form
    9,510.72/13,124.70 = 5,319/x
  3. Step 3: Cross multiply
    9,510.72x = 13,124.70 × 5,319
  4. Step 4: Simplify right side
    9,510.72x = 69,810,279.30
  5. Step 5: Solve for x
    x = 69,810,279.30/9,510.72
  6. Step 6: Final answer
    x = 7,340.17

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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.