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Finding the Fourth Proportional to 9,909.14, 14,864.28 and 4,365.08

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Solution

The fourth proportional to 9,909.14, 14,864.28 and 4,365.08 is: 6,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.14 : 14,864.28 = 4,365.08 : x
  2. Step 2: Convert to fraction form
    9,909.14/14,864.28 = 4,365.08/x
  3. Step 3: Cross multiply
    9,909.14x = 14,864.28 × 4,365.08
  4. Step 4: Simplify right side
    9,909.14x = 64,883,771.34
  5. Step 5: Solve for x
    x = 64,883,771.34/9,909.14
  6. Step 6: Final answer
    x = 6,547.87

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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.