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Finding the Fourth Proportional to 9,697.32, 14,548.06 and 3,124.02

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Solution

The fourth proportional to 9,697.32, 14,548.06 and 3,124.02 is: 4,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.32 : 14,548.06 = 3,124.02 : x
  2. Step 2: Convert to fraction form
    9,697.32/14,548.06 = 3,124.02/x
  3. Step 3: Cross multiply
    9,697.32x = 14,548.06 × 3,124.02
  4. Step 4: Simplify right side
    9,697.32x = 45,448,430.40
  5. Step 5: Solve for x
    x = 45,448,430.40/9,697.32
  6. Step 6: Final answer
    x = 4,686.70

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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.