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Finding the Fourth Proportional to 9,430.64, 14,116.80 and 8,624.24

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Solution

The fourth proportional to 9,430.64, 14,116.80 and 8,624.24 is: 12,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.64 : 14,116.80 = 8,624.24 : x
  2. Step 2: Convert to fraction form
    9,430.64/14,116.80 = 8,624.24/x
  3. Step 3: Cross multiply
    9,430.64x = 14,116.80 × 8,624.24
  4. Step 4: Simplify right side
    9,430.64x = 121,746,671.23
  5. Step 5: Solve for x
    x = 121,746,671.23/9,430.64
  6. Step 6: Final answer
    x = 12,909.69

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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.