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Finding the Fourth Proportional to 7,175.04, 9,897.24 and 4,340.40

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Solution

The fourth proportional to 7,175.04, 9,897.24 and 4,340.40 is: 5,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.04 : 9,897.24 = 4,340.40 : x
  2. Step 2: Convert to fraction form
    7,175.04/9,897.24 = 4,340.40/x
  3. Step 3: Cross multiply
    7,175.04x = 9,897.24 × 4,340.40
  4. Step 4: Simplify right side
    7,175.04x = 42,957,980.50
  5. Step 5: Solve for x
    x = 42,957,980.50/7,175.04
  6. Step 6: Final answer
    x = 5,987.14

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