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Finding the Fourth Proportional to 9,897.18, 13,643.67 and 7,535.22

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Solution

The fourth proportional to 9,897.18, 13,643.67 and 7,535.22 is: 10,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.18 : 13,643.67 = 7,535.22 : x
  2. Step 2: Convert to fraction form
    9,897.18/13,643.67 = 7,535.22/x
  3. Step 3: Cross multiply
    9,897.18x = 13,643.67 × 7,535.22
  4. Step 4: Simplify right side
    9,897.18x = 102,808,055.06
  5. Step 5: Solve for x
    x = 102,808,055.06/9,897.18
  6. Step 6: Final answer
    x = 10,387.61

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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.