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Finding the Fourth Proportional to 9,748.66, 14,607.63 and 5,848.18

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Solution

The fourth proportional to 9,748.66, 14,607.63 and 5,848.18 is: 8,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.66 : 14,607.63 = 5,848.18 : x
  2. Step 2: Convert to fraction form
    9,748.66/14,607.63 = 5,848.18/x
  3. Step 3: Cross multiply
    9,748.66x = 14,607.63 × 5,848.18
  4. Step 4: Simplify right side
    9,748.66x = 85,428,049.61
  5. Step 5: Solve for x
    x = 85,428,049.61/9,748.66
  6. Step 6: Final answer
    x = 8,763.06

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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.