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Finding the Fourth Proportional to 9,870.68, 14,802.30 and 4,024.04

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Solution

The fourth proportional to 9,870.68, 14,802.30 and 4,024.04 is: 6,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.68 : 14,802.30 = 4,024.04 : x
  2. Step 2: Convert to fraction form
    9,870.68/14,802.30 = 4,024.04/x
  3. Step 3: Cross multiply
    9,870.68x = 14,802.30 × 4,024.04
  4. Step 4: Simplify right side
    9,870.68x = 59,565,047.29
  5. Step 5: Solve for x
    x = 59,565,047.29/9,870.68
  6. Step 6: Final answer
    x = 6,034.54

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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.