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Finding the Fourth Proportional to 9,742,657.76, 13,444,893.24 and 5,392,044.08

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Solution

The fourth proportional to 9,742,657.76, 13,444,893.24 and 5,392,044.08 is: 7,441,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,657.76 : 13,444,893.24 = 5,392,044.08 : x
  2. Step 2: Convert to fraction form
    9,742,657.76/13,444,893.24 = 5,392,044.08/x
  3. Step 3: Cross multiply
    9,742,657.76x = 13,444,893.24 × 5,392,044.08
  4. Step 4: Simplify right side
    9,742,657.76x = 72,495,457,000,974.02
  5. Step 5: Solve for x
    x = 72,495,457,000,974.02/9,742,657.76
  6. Step 6: Final answer
    x = 7,441,034.96

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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.