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Finding the Fourth Proportional to 9,869.42, 14,810.25 and 4,026.02

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Solution

The fourth proportional to 9,869.42, 14,810.25 and 4,026.02 is: 6,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.42 : 14,810.25 = 4,026.02 : x
  2. Step 2: Convert to fraction form
    9,869.42/14,810.25 = 4,026.02/x
  3. Step 3: Cross multiply
    9,869.42x = 14,810.25 × 4,026.02
  4. Step 4: Simplify right side
    9,869.42x = 59,626,362.71
  5. Step 5: Solve for x
    x = 59,626,362.71/9,869.42
  6. Step 6: Final answer
    x = 6,041.53

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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.