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Finding the Fourth Proportional to 9,810.13, 14,688.22 and 6,851.53

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Solution

The fourth proportional to 9,810.13, 14,688.22 and 6,851.53 is: 10,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.13 : 14,688.22 = 6,851.53 : x
  2. Step 2: Convert to fraction form
    9,810.13/14,688.22 = 6,851.53/x
  3. Step 3: Cross multiply
    9,810.13x = 14,688.22 × 6,851.53
  4. Step 4: Simplify right side
    9,810.13x = 100,636,779.98
  5. Step 5: Solve for x
    x = 100,636,779.98/9,810.13
  6. Step 6: Final answer
    x = 10,258.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.