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Finding the Fourth Proportional to 9,503.90, 13,045.10 and 9,097.91

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Solution

The fourth proportional to 9,503.90, 13,045.10 and 9,097.91 is: 12,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.90 : 13,045.10 = 9,097.91 : x
  2. Step 2: Convert to fraction form
    9,503.90/13,045.10 = 9,097.91/x
  3. Step 3: Cross multiply
    9,503.90x = 13,045.10 × 9,097.91
  4. Step 4: Simplify right side
    9,503.90x = 118,683,103.26
  5. Step 5: Solve for x
    x = 118,683,103.26/9,503.90
  6. Step 6: Final answer
    x = 12,487.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.