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Finding the Fourth Proportional to 9,597.80, 14,397.50 and 7,017.12

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Solution

The fourth proportional to 9,597.80, 14,397.50 and 7,017.12 is: 10,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.80 : 14,397.50 = 7,017.12 : x
  2. Step 2: Convert to fraction form
    9,597.80/14,397.50 = 7,017.12/x
  3. Step 3: Cross multiply
    9,597.80x = 14,397.50 × 7,017.12
  4. Step 4: Simplify right side
    9,597.80x = 101,028,985.20
  5. Step 5: Solve for x
    x = 101,028,985.20/9,597.80
  6. Step 6: Final answer
    x = 10,526.26

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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.