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Finding the Fourth Proportional to 9,720.85, 14,510.72 and 9,037.21

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Solution

The fourth proportional to 9,720.85, 14,510.72 and 9,037.21 is: 13,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.85 : 14,510.72 = 9,037.21 : x
  2. Step 2: Convert to fraction form
    9,720.85/14,510.72 = 9,037.21/x
  3. Step 3: Cross multiply
    9,720.85x = 14,510.72 × 9,037.21
  4. Step 4: Simplify right side
    9,720.85x = 131,136,423.89
  5. Step 5: Solve for x
    x = 131,136,423.89/9,720.85
  6. Step 6: Final answer
    x = 13,490.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.