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Finding the Fourth Proportional to 9,810.18, 13,538.34 and 7,156.62

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Solution

The fourth proportional to 9,810.18, 13,538.34 and 7,156.62 is: 9,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.18 : 13,538.34 = 7,156.62 : x
  2. Step 2: Convert to fraction form
    9,810.18/13,538.34 = 7,156.62/x
  3. Step 3: Cross multiply
    9,810.18x = 13,538.34 × 7,156.62
  4. Step 4: Simplify right side
    9,810.18x = 96,888,754.81
  5. Step 5: Solve for x
    x = 96,888,754.81/9,810.18
  6. Step 6: Final answer
    x = 9,876.35

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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.