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Finding the Fourth Proportional to 9,829,714.20, 13,564,774.42 and 5,700,483.24

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Solution

The fourth proportional to 9,829,714.20, 13,564,774.42 and 5,700,483.24 is: 7,866,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,714.20 : 13,564,774.42 = 5,700,483.24 : x
  2. Step 2: Convert to fraction form
    9,829,714.20/13,564,774.42 = 5,700,483.24/x
  3. Step 3: Cross multiply
    9,829,714.20x = 13,564,774.42 × 5,700,483.24
  4. Step 4: Simplify right side
    9,829,714.20x = 77,325,769,235,590.72
  5. Step 5: Solve for x
    x = 77,325,769,235,590.72/9,829,714.20
  6. Step 6: Final answer
    x = 7,866,532.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.