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Finding the Fourth Proportional to 9,810.18, 13,543.07 and 7,567.02

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Solution

The fourth proportional to 9,810.18, 13,543.07 and 7,567.02 is: 10,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.18 : 13,543.07 = 7,567.02 : x
  2. Step 2: Convert to fraction form
    9,810.18/13,543.07 = 7,567.02/x
  3. Step 3: Cross multiply
    9,810.18x = 13,543.07 × 7,567.02
  4. Step 4: Simplify right side
    9,810.18x = 102,480,643.72
  5. Step 5: Solve for x
    x = 102,480,643.72/9,810.18
  6. Step 6: Final answer
    x = 10,446.36

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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.